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Finding the Fourth Proportional to 2,581.52, 3,873.81 and 1,791.50

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Solution

The fourth proportional to 2,581.52, 3,873.81 and 1,791.50 is: 2,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.52 : 3,873.81 = 1,791.50 : x
  2. Step 2: Convert to fraction form
    2,581.52/3,873.81 = 1,791.50/x
  3. Step 3: Cross multiply
    2,581.52x = 3,873.81 × 1,791.50
  4. Step 4: Simplify right side
    2,581.52x = 6,939,911.25
  5. Step 5: Solve for x
    x = 6,939,911.25/2,581.52
  6. Step 6: Final answer
    x = 2,688.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.